Partitions and orientations of the Rado graph
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- by Reinhard Diestel, Imre Leader, Alex Scott and Stéphan Thomassé PDF
- Trans. Amer. Math. Soc. 359 (2007), 2395-2405 Request permission
Abstract:
We classify the countably infinite oriented graphs which, for every partition of their vertex set into two parts, induce an isomorphic copy of themselves on at least one of the parts. These graphs are the edgeless graph, the random tournament, the transitive tournaments of order type $\omega ^\alpha$, and two orientations of the Rado graph: the random oriented graph, and a newly found random acyclic oriented graph.References
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Additional Information
- Reinhard Diestel
- Affiliation: Mathematisches Seminar, Universität Hamburg, Bundesstraße 55, 20146 Hamburg, Germany
- Imre Leader
- Affiliation: DPMMS/CMS, University of Cambridge, Wilberforce Road, GB – Cambridge CB3 0WB, England
- MR Author ID: 111480
- Alex Scott
- Affiliation: Mathematical Institute, 24-29 St. Giles’, Oxford, OX1 3LB, England
- MR Author ID: 334830
- Stéphan Thomassé
- Affiliation: LIRMM, 161 rue Ada, 34392 Montpellier Cedex 5, France
- Received by editor(s): December 17, 2003
- Received by editor(s) in revised form: May 31, 2005
- Published electronically: November 22, 2006
- © Copyright 2006
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Trans. Amer. Math. Soc. 359 (2007), 2395-2405
- MSC (2000): Primary 05C20
- DOI: https://doi.org/10.1090/S0002-9947-06-04086-4
- MathSciNet review: 2276626